SymmetricMatrix Class

Members See Also

Represents a matrix that is symmetrical about the main diagonal.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
[SerializableAttribute] public sealed class SymmetricMatrix : Matrix, IDoubleStorage, ISerializable

Visual Basic (Declaration)
<SerializableAttribute> _ Public NotInheritable Class SymmetricMatrix _ Inherits Matrix _ Implements IDoubleStorage, ISerializable

Visual C++
[SerializableAttribute] public ref class SymmetricMatrix sealed : public Matrix, IDoubleStorage, ISerializable

F#
[<SealedAttribute>] [<SerializableAttribute>] type SymmetricMatrix = class inherit Matrix interface IDoubleStorage interface ISerializable end

Remarks

Use the SymmetricMatrix class to represent dense matrices whose elements are symmetrical about the main diagonal. Symmetric matrices are always square.

The components of a SymmetricMatrix are stored in a one-dimensional array of Double values. Thanks to the symmetry, only the upper or lower-triangular portion needs to be stored.

Symmetric matrices can be constructed from scratch, or they can be derived or extracted from the upper or lower triangular portion of a DenseMatrix using one of the Extract(DenseMatrix, Int32, Int32, Int32, MatrixTriangle, Boolean) methods.

The SymmetricMatrix class implements algorithms using the symmetric matrix BLAS and LAPACK routines. Symmetric matrices are always stored in column-major order.

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra..::..LinearOperator
    Extreme.Mathematics..::..Matrix
      Extreme.Mathematics.LinearAlgebra..::..SymmetricMatrix